Nikolaos Dergiades,
Parallelograms Inscribed in Convex Quadrangles,
Forum Geometricorum, 18 (2018) 203--218.
Abstract. In this article we construct
the inscription in a quadrangle of a parallelogram similar to
a given one and we study
the parallelograms inscribed
in quadrangles with special emphasis on determining the classes of quadrangles
which
allow the inscription of
infinite many parallelograms of a given similarity type. As special cases we
obtain the
characterization of quadrangles
allowing the inscription of infinite many rhombi of a fixed similarity type,
of infinite many rectangles
of a fixed similarity type and of quadrangles allowing the inscription of
infinite
many squares.
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Geom., 18 (2018) Table of Contents